3D graphics eBook - Course Materials Repository

3D graphics eBook - Course Materials Repository 3D graphics eBook - Course Materials Repository

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Geometry processing 47 Geometry processing Geometry processing, or mesh processing, is a fast-growing area of research that uses concepts from applied mathematics, computer science and engineering to design efficient algorithms for the acquisition, reconstruction, analysis, manipulation, simulation and transmission of complex 3D models. Applications of geometry processing algorithms already cover a wide range of areas from multimedia, entertainment and classical computer-aided design, to biomedical computing, reverse engineering and scientific computing. External links • Siggraph 2001 Course on Digital Geometry Processing [1] , by Peter Schroder and Wim Sweldens • Symposium on Geometry Processing [2] • Multi-Res Modeling Group [3] , Caltech • Mathematical Geometry Processing Group [4] , Free University of Berlin References [1] http:/ / www. multires. caltech. edu/ pubs/ DGPCourse/ [2] http:/ / www. geometryprocessing. org/ [3] http:/ / www. multires. caltech. edu/ [4] http:/ / geom. mi. fu-berlin. de/ index. html Global illumination Rendering without global illumination. Areas that lie outside of the ceiling lamp's direct light lack definition. For example, the lamp's housing appears completely uniform. Without the ambient light added into the render, it would appear uniformly black.

Global illumination 48 Rendering with global illumination. Light is reflected by surfaces, and colored light transfers from one surface to another. Notice how color from the red wall and green wall (not visible) reflects onto other surfaces in the scene. Also notable is the caustic projected onto the red wall from light passing through the glass sphere. Global illumination is a general name for a group of algorithms used in 3D computer graphics that are meant to add more realistic lighting to 3D scenes. Such algorithms take into account not only the light which comes directly from a light source (direct illumination), but also subsequent cases in which light rays from the same source are reflected by other surfaces in the scene, whether reflective or not (indirect illumination). Theoretically reflections, refractions, and shadows are all examples of global illumination, because when simulating them, one object affects the rendering of another object (as opposed to an object being affected only by a direct light). In practice, however, only the simulation of diffuse inter-reflection or caustics is called global illumination. Images rendered using global illumination algorithms often appear more photorealistic than images rendered using only direct illumination algorithms. However, such images are computationally more expensive and consequently much slower to generate. One common approach is to compute the global illumination of a scene and store that information with the geometry, i.e., radiosity. That stored data can then be used to generate images from different viewpoints for generating walkthroughs of a scene without having to go through expensive lighting calculations repeatedly. Radiosity, ray tracing, beam tracing, cone tracing, path tracing, Metropolis light transport, ambient occlusion, photon mapping, and image based lighting are examples of algorithms used in global illumination, some of which may be used together to yield results that are not fast, but accurate. These algorithms model diffuse inter-reflection which is a very important part of global illumination; however most of these (excluding radiosity) also model specular reflection, which makes them more accurate algorithms to solve the lighting equation and provide a more realistically illuminated scene. The algorithms used to calculate the distribution of light energy between surfaces of a scene are closely related to heat transfer simulations performed using finite-element methods in engineering design. In real-time 3D graphics, the diffuse inter-reflection component of global illumination is sometimes approximated by an "ambient" term in the lighting equation, which is also called "ambient lighting" or "ambient color" in 3D software packages. Though this method of approximation (also known as a "cheat" because it's not really a global illumination method) is easy to perform computationally, when used alone it does not provide an adequately realistic effect. Ambient lighting is known to "flatten" shadows in 3D scenes, making the overall visual effect more bland. However, used properly, ambient lighting can be an efficient way to make up for a lack of processing power.

Geometry processing 47<br />

Geometry processing<br />

Geometry processing, or mesh processing, is a fast-growing area of research that uses concepts from applied<br />

mathematics, computer science and engineering to design efficient algorithms for the acquisition, reconstruction,<br />

analysis, manipulation, simulation and transmission of complex <strong>3D</strong> models. Applications of geometry processing<br />

algorithms already cover a wide range of areas from multimedia, entertainment and classical computer-aided design,<br />

to biomedical computing, reverse engineering and scientific computing.<br />

External links<br />

• Siggraph 2001 <strong>Course</strong> on Digital Geometry Processing [1] , by Peter Schroder and Wim Sweldens<br />

• Symposium on Geometry Processing [2]<br />

• Multi-Res Modeling Group [3] , Caltech<br />

• Mathematical Geometry Processing Group [4] , Free University of Berlin<br />

References<br />

[1] http:/ / www. multires. caltech. edu/ pubs/ DGP<strong>Course</strong>/<br />

[2] http:/ / www. geometryprocessing. org/<br />

[3] http:/ / www. multires. caltech. edu/<br />

[4] http:/ / geom. mi. fu-berlin. de/ index. html<br />

Global illumination<br />

Rendering without global illumination. Areas that lie outside of the ceiling lamp's direct light lack definition. For example, the lamp's housing<br />

appears completely uniform. Without the ambient light added into the render, it would appear uniformly black.

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